From the table the probability of large is given by:
[tex]P(L)=\frac{27}{100}[/tex]
The probability of cold drink is given from the table as:
[tex]P(C)=\frac{25}{100}[/tex]
The probability of a cold large drink is given from table as:
[tex]P(C\cap L)=\frac{5}{100}[/tex]
Hence the probability that a customer ordered a cold drink given that the drink was a large is given by:
[tex]\begin{gathered} P(C|L)=\frac{P(C\cap L)}{P(L)} \\ P(C|L)=\frac{\frac{5}{100}}{\frac{27}{100}} \\ P(C|L)=\frac{5}{27}=0.1851851852 \end{gathered}[/tex]
Hence the probability is 18.52%.
